If the equation cos x + 3 cos (2Kx) = 4
has exactly one solution, then
(1) K is a rational number of the form
(P/(P + 1)), P ≠ −1
(2) K is irrational number whose
rational approximation does not
exceed 2
(3) K is irrational number
(4) K is a rational number of the form
(P/(P − 1)), P ≠ 1
A clock has a pendulum made of iron rod of length 2.5m,
if the clock keeps accurate time at 0°C. By how much time will it be late
running at a temperature 30°C for 1 day. coefficient of linear expansivity of
iron is 1.2 × 10^(−5) per k.